Given the null and alternative hypotheses, samplemeans, sample sizes, and population standarddeviations shown to the right, conduct a hypothesis Ha P-< 0test using an alpha level equal to 0.01.= 145 x, - 127Ho H,-H2200, = 19n, = 6502= 16n2 = 55Determine the rejection region for the test statistic z. Select the correct choice below and fill in the answer box to complete your choice.(Round to two decimal places as needed.)O A. z>XB.z<or z>C. z< -2.33Calculate the value of the test statistic.Calculate the value of the test statistic.(Round to two decimal places as needed.)%=pls calculate the value of test statistics z=Since the test statistic (1)in the rejection region, (2)the null hypothesis. There is(3)evidence to conclude that the mean of population 1 is greater than the mean of population 2.(1) O is not(2) O do not rejectO reject(3) O nsufficientO sufficientis

To check the mean difference between two groups, when the population standard deviations are known…

Answered: Given the null and alternative…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are given the null and alternative hypotheses and the sample information shown below. Complete parts a and b below. Sample 1 n1 = 120 S, = 34 X = 130 Sample 2 n2 = 135 HA: H1- H2#0 S2 = 36 X2 = 150 a. Develop the appropriate decision rule, assuming a significance level of 0.01 is to be used. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. Reject Họ if t O B. Reject Họ if t> O C. Reject H, if t< b. Test the null hypothesis and indicate whether the sample information leads you to reject or fail to reject the null hypothesis. Use the test statistic approach. Calculate the value of the test statistic. t= (Round to two decimal places as needed.) Since the test statistic V in the rejection region, the null hypothesis. There is V evidence at a = 0.01 to conclude that the two population means are different.
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 1% significance level. x= 19, n=25, a=5, Ho: H=21, H₂: H#21 www
Test the claim about the population mean, at the given level of significance using the given sample statistics. Claim 50, a0.04, 351. Sample statistics i 48 2, n- 72 Identily the null and alternative hypotheses. Choose the corect answer below OA. H: p 50 H, p50 OB. H: 50 H, pe50 OC. Họ p> 50 D. H 50 H, 50 OE Ho 50 H, 50 OF. H: p= 50 Calculate the standardized test statistic The standardized test statistic is -4.35. (Round to two decimal places as needed) Determine the critical value(s) Select the corect choice below and flin the answer box to complete your cholce. (Round to two decimal places as needed) OA. The critical value is O B. The critical values are
Assume that a simple random sample has been selected from a normally distributed population. State the final conclusion.Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23, and s = 11,500 miles. Use a significance level of α = 0.01.H0: μ = 220,000 HA: μ > 220,000State your conclusion about H0. Choose the best answer below: A. Reject HA B. Do not reject H0 C. Do not reject HA D. Reject H0 E. Cannot draw a conclusion for information given
A data set lists earthquake depths. The summary statistics are n 600, x 4.73 km, s 4.39 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: =4.00 km H1:#4.00 km O B. Ho: =4.00 km H4u4.00 km O D. Ho u#4.00 km H1:=4.00 km Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. correct. V Ho. There is V evidence to conclude that the original claim that the mean of the population of earthquake depths is 4.00 km Reject Fail to reject
Find the standardized test statistic t for a sample with n = 20, x=6.8, s= 2.0, and o = 0.05 if Hau < 7.2, Round your answer to three decimal places.
We have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% significance level. x = 21, s = 4, n = 32, H0: μ = 22, Ha: μ<22
The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample Magnitude of Earthquake 0.720 0.740 0.640 0.390 0.700 2.200 1.980 0.640 1.220 0.200 1.640 1.320 2.950 0.900 1.760 1.010 1.260 0.000 0.650 1.460 1.620 1.830 0.990 1.560 0.410 1.280 0.830 1.320 0.540 1.250 0.920 1.000 0.780 0.790 1.440 1.000 2.240 2.500 1.790
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: Hq ZH₂ OC. Ho: H₁ H₂ H₁: Hy > H₂ The test statistic, t, is. (Round to two decimal places as needed.) (Round to three decimal places as needed.) The P-value is State the conclusion for the test. C... OB. Ho: H₁ H₂ H₁: Hy #H₂ OD. Ho: Hg #U2 H₁: Hy
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H¹/₂ H₁: H₁
A data set lists earthquake depths. The summary statistics are n 600, x 4.73 km, s 4.39 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? OA. Ho:u=4.00 km H1:H#4.00 km O B. Ho: =4.00 km HiiH4.00 km OD. Ho: u#4.00 km H: =4.00 km Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Ho. There is V evidence to conclude that the original claim that the mean of the population of earthquake depths is 4.00 km correct. Reject Fail to reject Click to select your answer(s). esc #3 $ 2. R T tab K G H. F caps lock Σ D.
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x=33, n=12, 0=4, Ho: H = 31, Hai H>31

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